Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 9081, 2889 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 9081, 2889 is 9 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 9081, 2889 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 9081, 2889 is 9.
HCF(9081, 2889) = 9
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9081, 2889 is 9.
Step 1: Since 9081 > 2889, we apply the division lemma to 9081 and 2889, to get
9081 = 2889 x 3 + 414
Step 2: Since the reminder 2889 ≠ 0, we apply division lemma to 414 and 2889, to get
2889 = 414 x 6 + 405
Step 3: We consider the new divisor 414 and the new remainder 405, and apply the division lemma to get
414 = 405 x 1 + 9
We consider the new divisor 405 and the new remainder 9, and apply the division lemma to get
405 = 9 x 45 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 9081 and 2889 is 9
Notice that 9 = HCF(405,9) = HCF(414,405) = HCF(2889,414) = HCF(9081,2889) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 9081, 2889?
Answer: HCF of 9081, 2889 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9081, 2889 using Euclid's Algorithm?
Answer: For arbitrary numbers 9081, 2889 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.